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Countries that have made progress on international assessments of mathematics achievement have national consensus on goals and sustained commitment to change over time. The Common Core State Standards provide a framework for such effort in the U. S., if we focus on five key elements of curriculum, teaching, and assessment.

The NCTM Algebra Standard suggests that students use technology to explore the effects of varying the parameters in
y = ax2 + bx + c.
This article discusses an extension of this task that incorporates dynamic geometry software to engage students in generating, testing, and proving mathematical conjectures.